Deviations from Arrhenius dynamics in high temperature liquids, a possible collapse, and a viscosity bound

Xue, Jing; Nogueira, Flavio S.; Kelton, K. F.; Nussinov, Zohar

doi:10.1103/physrevresearch.4.043047

Cited by 7 publications

(9 citation statements)

References 55 publications

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“…More recently, the experimental viscosity of metallic liquids was discussed at high temperature in order to find limiting high-temperature viscosity and found it close to the prediction of Eq. ( 13) [106][107][108].…”

Section: Relation To Experimentsmentioning

confidence: 99%

Minimal quantum viscosity from fundamental physical constants

Trachenko

Бражкин

2020

Sci. Adv.

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Viscosity of fluids is strongly system-dependent, varies across many orders of magnitude and depends on molecular interactions and structure in a complex way not amenable to first-principles theories. Despite the variations and theoretical difficulties, we find a universal quantum quantity: minimal kinematic viscosity νm = 1 4πh √ mem , where me and m are electron and molecule masses. We subsequently introduce a new property, the "elementary" viscosity ι with the lower bound set by fundamental physical constants and notably involving the proton-to-electron mass ratio:ιm =h 4π mp me 1 2 , where mp is the proton mass. We discuss the connection of our result to the arXiv:1912.06711v1 [cond-mat.soft]

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Section: Relation To Experimentsmentioning

confidence: 99%

Minimal quantum viscosity from fundamental physical constants

Trachenko

Бражкин

2020

Sci. Adv.

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Section: Relation To Experimentsmentioning

confidence: 58%

“…where U is activation energy and η 0 is the pre-factor setting the limiting high-temperature viscosity [74] which can be experimentally measured (see, e.g. [103,104]). The increase of η at high temperature and its decrease at low imply that η has a minimum, and we expect this minimum to correspond to the crossover between the gas-like and liquidlike viscosity.…”

Section: Lower Bound On Liquid Viscosity In Terms Of Fundamental Phys...mentioning

confidence: 99%

Viscosity and diffusion in life processes and tuning of fundamental constants

Trachenko

2023

Rep. Prog. Phys.

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Viewed as one of the grandest questions in modern science, understanding fundamental physical constants has been discussed in high-energy particle physics, astronomy and cosmology. Here, I review how condensed matter and liquid physics gives new insights into fundamental constants and their tuning. This is based on two observations: first, cellular life and the existence of observers depend on viscosity and diffusion. Second, the lower bound on viscosity and upper bound on diffusion are set by fundamental constants, and I briefly review this result and related recent developments in liquid physics. I will subsequently show that bounds on viscosity, diffusion and the newly introduced fundamental velocity gradient in a biochemical machine can all be varied while keeping the fine-structure constant and the proton-to-electron mass ratio intact. This implies that it is possible to produce heavy elements in stars but have a viscous planet where all liquids have very high viscosity (for example that of tar or higher) and where life may not exist. Knowing the range of bio-friendly viscosity and diffusion, we will be able to calculate the range of fundamental constants which favour cellular life and observers and compare this tuning with that discussed in high-energy physics previously. This invites an inter-disciplinary research between condensed matter physics and life sciences, and I formulate several questions that life science can address. I finish with a conjecture of multiple tuning and an evolutionary mechanism.

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“…Moreover, expression (5) coincides with Frenkel’s equation of the viscosity of liquids [ 58 ], see, e.g., Equation (7.14) and the derivation in [ 59 ], which exhibits linear behaviour with respect to the temperature pre-exponent. It was correctly noted in [ 33 ] that the transition rate applied in the Eyring analysis is more precisely expressed via the linear dependence on the temperature of the pre-exponent (see Equation (2) of [ 33 ]) as provided by (5) rather than T 1/2 . Nevertheless, the Kaptay equation [ 35 ], which is widely accepted and tested on many liquid metals, is very similar to the original Eyring equation concerning the square root temperature dependence:

…”

Section: Viscosity At the High-temperature (Low Viscosity And Low ...mentioning

confidence: 99%

“…One should nevertheless note the significant progress in the development of liquid thermodynamics achieved within the last decade, which is primarily based on the analysis of excitations in liquids [ 27 , 28 , 29 , 30 , 31 , 32 ]. A recent detailed analysis of viscosity behaviour at high temperatures has, however, shown that the viscosity of liquids is more complex compared with the simplified Arrhenius-type dependence behaviour with a constant activation energy (see, e.g., Figure 1 of [ 33 ]).…”

Section: Introductionmentioning

confidence: 99%

On Crossover Temperatures of Viscous Flow Related to Structural Rearrangements in Liquids

Ojovan,

Louzguine-Luzgin

2024

Materials

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An additional crossover of viscous flow in liquids occurs at a temperature Tvm above the known non-Arrhenius to Arrhenius crossover temperature (TA). Tvm is the temperature when the minimum possible viscosity value ηmin is attained, and the flow becomes non-activated with a further increase in temperature. Explicit equations are proposed for the assessments of both Tvm and ηmin, which are shown to provide data that are close to those experimentally measured. Numerical estimations reveal that the new crossover temperature is very high and can barely be achieved in practical uses, although at temperatures close to it, the contribution of the non-activated regime of the flow can be accounted for.

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Deviations from Arrhenius dynamics in high temperature liquids, a possible collapse, and a viscosity bound

Cited by 7 publications

References 55 publications

Minimal quantum viscosity from fundamental physical constants

Minimal quantum viscosity from fundamental physical constants

Viscosity and diffusion in life processes and tuning of fundamental constants

On Crossover Temperatures of Viscous Flow Related to Structural Rearrangements in Liquids

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